If your host does not have crontab / scheduled task enabled, your reporting data will not update. For best results you should have Scheduled Tasks configured and working for activeCollab.

If your server has a web based control panel (cPanel, Plesk etc), there are good chances you can configure cron jobs with it. If you have shell access to the server (SSH), you can easily configure cron jobs from command line (crontab -e).

If all that fails, what are my alternatives?

Alright, so life is really making it difficult for you, you have two alternatives.

1. Re-install Reports module every week. When Reports module installs, it collects all historical data about your projects. Re-installing it (uninstall, and then install) will refresh your data.
2. Run cron from another computer. Either set it up on your desktop or use a third party service to run scheduled tasks (e.g. Webcron.org). Just ensure your are using correct URLs of your activeCollab installation. Reports module needs the daily cron / scheduled task to be executed.